https://doi.org/10.1140/epja/i2015-15135-7
Regular Article - Theoretical Physics
Dispersive approaches for three-particle final state interaction
1
Physics Department, Indiana University, 47405, Bloomington, IN, USA
2
Center For Exploration of Energy and Matter, Indiana University, 47408, Bloomington, IN, USA
3
Thomas Jefferson National Accelerator Facility, 23606, Newport News, VA, USA
* e-mail: pguo@jlab.org
Received:
26
May
2015
Revised:
27
September
2015
Accepted:
7
October
2015
Published online:
30
October
2015
In this work, we present different representations of the Khuri-Treiman equation and discuss advantages and disadvantages of each representation. In particular we focus on the inversion technique proposed by Pasquier, which, even though developed a long time ago, has not been used in modern analyses of data on three particle decays. We apply the method to a toy model and compare the sensitivity of this and alternative solution methods to the left-hand cut contribution. We also discuss the meaning and applicability of Watson’s theorem when three particles in final states are involved.
© SIF, Springer-Verlag Berlin Heidelberg, 2015
